An auto rental firm is using identical motors that are adjusted to run at a fixed speed to test different brands of gasoline. Each brand of gasoline is assigned to exactly of the motors. Each motor runs on gallons of gasoline until it is out of fuel. The following represents the total mileages obtained by the different motors: Gas 1: 220 251 226 246 260 Gas 2: 244 235 232 242 225 Gas 3: 252 272 250 238 256 a) Calculate the sum of squared deviation within and between each of type of gasoline used, for their mileages obtained. b) Estimate the degrees of freedom within and between mileage at each type of gasoline used. c) Test the hypothesis that the average mileage obtained is not affected by the type of gas used. Use the level of significance.
An auto rental firm is using identical motors that are adjusted
to run at a fixed speed to test different brands of gasoline. Each
brand of gasoline is assigned to exactly of the motors. Each
motor runs on gallons of gasoline until it is out of fuel.
The following represents the total mileages obtained by the
different motors:
Gas 1: 220 251 226 246 260
Gas 2: 244 235 232 242 225
Gas 3: 252 272 250 238 256
a) Calculate the sum of squared deviation within and between each
of type of gasoline used, for their mileages obtained.
b) Estimate the degrees of freedom within and between mileage at
each type of gasoline used.
c) Test the hypothesis that the average mileage obtained is not
affected by the type of gas used. Use the level of significance.
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